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Q. No 1:In figure below, a radar station detects an airplane approaching directl

ID: 1787228 • Letter: Q

Question

Q. No 1:In figure below, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance di- 360 m from the sta and at angle ,-40° above the horizon. The airplane is tracked through an angular change = 123° in the vertical east-west plane; its distance is then d,-790 m. Find the (a) magnitude and (b) direction of the airplane's displacement during this period. tion Airplane Radar disl Q. No 2: A jet plane is flying at a constant altitude. At ti0, it has components of velocity v-90 m/s, V,-110 m/s. At time t2 30.0 s the components are Vx- - 170 m/s, V,- 40 m/s. (a) Sketch the velocity vectors at t and t. How do these two vectors differ? For this time interval calculate (b) the components of the average acceleration, and (c) the magnitude and direction of the average acceleration. Q. No 3: A centripetal-acceleration addict rides in uniform circular motion with period T= 2.0 s and radius r = 3.00 m. At ti his acceleration is a= (6.00 m/s*)i + (-4.00 m/sjj At that instant, what are the values of (a) v-a and (b) 7 × Q. No 4: You throw a ball toward a wall at speed 25.0 m/s and at angle = 40.0° above the horizontal. The wall is distance d = 22.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and (c) vertical components of its velocity as it hits the wall? (d) When it hits, has it passed the highest point on its trajectory Important note: Please do all the numerical problems related to projectile given in F.Sc (Part 1). motion

Explanation / Answer

Q 4 .) 25 cos(40).t = 22

Then t = 0.87 sec.

Then height above the where the ball hit the ball = 25×sin(40)×0.87 = 13.98 metre

Horizontal component = 25 cos (40) = 19.15m/s

Vertical component = 25 sin(40) = 16.06 m/sec.

Max. Height of ball = u2sin2(@)/2.g = 25×25.sin(40).sin(40)/(2×9.8) =13 metre ....max. height of ball

Yes it will reach the highest point before striking the wall.

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